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      Question

      A cricket team of 9 players is to be formed from 10

      batsmen and 6 bowlers. Find the number of ways to form the team such that at least 7 batsmen are selected.
      A 1980 Correct Answer Incorrect Answer
      B 2080 Correct Answer Incorrect Answer
      C 1880 Correct Answer Incorrect Answer
      D 2160 Correct Answer Incorrect Answer

      Solution

      Case I: 7 batsmen and 2 bowlers:
      10C7 × 6C2 = 120 × 15 = 1800

      Case II: 8 batsmen and 1 bowler:
      10C8 × 6C1 = 45 × 6 = 270

      Case III: 9 batsmen and 0 bowlers:
      10C9 × 6C0 = 10 × 1 = 10

      Total = 1800 + 270 + 10 = 2080 ways

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